Abstract
The “other” pαqβ theorem of Burnside states the following:Theorem A.l. Let G be a group of order pαqβ, where p and q are distinct primes. If pα>qβ, then Op(G)≠1 unless(a) p is a Mersenne prime and q = 2;(b) p = 2 and q is a Fermat prime; or(c) p = 2 and q = 7.
Publisher
Cambridge University Press (CUP)
Reference12 articles.
1. A Note on Burnside's Other p
α
q
β
Theorem
2. Invariant subgroups of biprimary groups;Monakhov;Mat. Zametki,1975
3. Sylow p-subgroups of the classical groups over finite fields with characteristic prime to p;Weir;Proc. Amer. Math. Soc,1955
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1. Some questions aboutp-groups;Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics;1999-12
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